Sentence examples for instance declarations from inspiring English sources

The set of constraint axioms (Theta ) is induced by class and instance declarations of a program.

This section summarizes the restrictions imposed on class and instance declarations in Haskell, Haskell+mptcs and in GHC, and GHC compilation flags used to avoid these restrictions.

Restrictions imposed on class and instance declarations in Haskell, in Haskell+mptcs and in GHC, and GHC compilation flags used to avoid these restrictions [20], are summarized in Sect. 2.

For example, the following instance declarations specify definitions of the equality operator for types Int and for polymorphic lists, respectively: For a base type, like Int, a corresponding predefined operation is provided.

Context reduction can also occur due to the presence of superclass class declarations, but we only consider the case of instance declarations in this paper, which is the more complex process.

The use of this criterion eliminates the need of imposing syntactic conditions on Haskell type class and instance declarations in order to guarantee termination of type inference in the presence of multi-parameter type classes, and allows program compilation without the need of compiler flags for lifting such restrictions.

A dictionary is a tuple that corresponds to an instance declaration, and contains values that correspond to the definitions given in the instance declaration for each class member.

Constraint Eq(a) must be specified as the context for the headEq[(a)] of the instance declaration.

Each instance declaration instance(PRightarrow pi )where... introduces an axiom scheme (forall,overline{alpha }.,PRightarrow pi ), where (overline{alpha } = { tv}(PRightarrow pi )).

Each instance declaration (mathtt{instance },PRightarrow pi,mathtt{where },overline{x} = overline{e}) of a class (C) generates a dictionary (d_pi.) Each component in (d_pi ) is a function that takes one dictionary for each constraint in the (possibly empty) sequence (overline{P}) and yields the translation of (e_i,) the value bound by (x_i) in the instance declaration.

Each constraint in a context (P) of an instance declaration (PRightarrow C,overline{tau }) must have the form (C,a), where (a) is a type variable occurring in (overline{tau }).